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-rw-r--r--test/examples/complex/complex.lua82
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diff --git a/test/examples/complex/complex.lua b/test/examples/complex/complex.lua
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+-- complex.lua
+-- complex arithmetic package for lua
+-- Luiz Henrique de Figueiredo (lhf@csg.uwaterloo.ca)
+-- 24 Oct 95
+$debug
+
+Complex={type="package"}
+
+function complex(x,y)
+ return { re=x, im=y, type="complex" }
+end
+
+function Complex.conj(x,y)
+ return complex(x.re,-x.im)
+end
+
+function Complex.norm2(x)
+ local n=Complex.mul(x,Complex.conj(x))
+ return n.re
+end
+
+function Complex.abs(x)
+ return sqrt(Complex.norm2(x))
+end
+
+function Complex.add(x,y)
+ return complex(x.re+y.re,x.im+y.im)
+end
+
+function Complex.sub(x,y)
+ return complex(x.re-y.re,x.im-y.im)
+end
+
+function Complex.mul(x,y)
+ return complex(x.re*y.re-x.im*y.im,x.re*y.im+x.im*y.re)
+end
+
+function Complex.div(x,y)
+ local z=x*Complex.conj(y)
+ local t=Complex.norm2(y)
+ z.re=z.re/t
+ z.im=z.im/t
+ return z
+end
+
+function Complex.fallback(x,y,op)
+ if type(x)=="number" then x=complex(x,0) end
+ if type(y)=="number" then y=complex(y,0) end
+ if type(x)=="complex" and type(y)=="complex" then
+ return Complex[op](x,y)
+ else
+ return Complex.oldfallback(x,y)
+ end
+end
+
+function Complex.newtype(x)
+ local t=Complex.oldtype(x)
+ if t=="table" and x.type then return x.type else return t end
+end
+
+function Complex.print(x)
+ if type(x)~="complex" then
+ Complex.oldprint(x)
+ else
+ local s
+ if x.im>=0 then s="+" else s="" end
+ Complex.oldprint(x.re..s..x.im.."I")
+ end
+end
+
+function Complex.newabs(x)
+ if type(x)~="complex" then
+ return Complex.oldabs(x)
+ else
+ return Complex.abs(x)
+ end
+end
+
+Complex.oldfallback=setfallback("arith",Complex.fallback)
+Complex.oldtype=type type=Complex.newtype
+Complex.oldprint=print print=Complex.print
+Complex.oldabs=abs abs=Complex.abs